Results 271 to 280 of about 3,476,424 (344)

Regions of prevalence in the coupled restricted three-body problems approximation

Communications in Nonlinear Science and Numerical Simulation, 2012
This work concerns the role played by a couple of the planar circular restricted three-body problem in the approximation of the bicircular model. The comparison between the differential equations governing the dynamics leads to the definition of region ...
Roberto Castelli
exaly   +2 more sources

Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario

Communications in Nonlinear Science and Numerical Simulation, 2012
This work deals with the design of transfers connecting LEOs with halo orbits around libration points of the Earth–Moon CRTBP using impulsive maneuvers.
Roberto Castelli
exaly   +2 more sources

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Three-Body Problem

Celestial Mechanics, 1984
In the first part [the authors, Acta Astronaut. 11, 415-422 (1984; Zbl 0551.70004)] we have analyzed three-body systems satisfying the condition \(r\leq kR\), where k is a suitable constant, r the mutual distance of the two masses of the ''binary'' and R the distance between the center of mass of the binary and the ''third mass''.
Marchal, Christian, Yoshida, Junzo, Sun, Yi-Sui   +2 more
openaire   +2 more sources

A class of exactly soluble three‐body problems

Journal of Chemical Physics, 1985
R. Crandall, R. Bettega, R. Whitnell
exaly   +2 more sources

A Trilinear Three-Body Problem

International Journal of Bifurcation and Chaos, 2003
In this paper we present a simplified model of a three-body problem. Place three parallel lines in the plane. Place one mass on each of the lines and let their positions evolve according to Newton's inverse square law of gravitation. We prove the KAM theory applies to our model and simulations are presented. We argue that this model provides an ideal,
G. Lodge, J. A. Walsh, M. Kramer
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ROBERT HOOKE'S THREE-BODY PROBLEM

International Journal of Bifurcation and Chaos, 2009
During the winter 1679, R. Hooke challenged I. Newton to predict the dynamics of an object submitted to a constant radial force. This correspondence made a strong impact on I. Newton, who wrote four years later "De Motu", the real ancestor of "The Principia", published in 1687. R.
Médéric Argentina, Pierre Coullet, Jean-Marc Gilli, Marc Monticelli, Germain Rousseaux   +4 more
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The Three-Body Problem

Choice Reviews Online, 2006
How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach.
Mauri Valtonen, Hannu Karttunen
openaire   +2 more sources

The Problem of Three Bodies

Celestial Mechanics, 1974
Analytical and numerical results obtained during the past five years and their astronomical applications are reviewed in the area known as the general problem of three bodies. In this problem the order of magnitude of the masses of the three participating bodies are the same and their distances are arbitrary.
openaire   +1 more source

A class of exactly solvable three-body quantum mechanical problems and the universal low energy behavior

Physics Letters, Section A: General, Atomic and Solid State Physics, 1981
Raphaël Høegh-Krohn
exaly   +2 more sources

The Parabolic Three-Body Problem

Celestial Mechanics and Dynamical Astronomy, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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